# Bessel Function Yv (G Dataflow)

Version:

Computes the Bessel function of the second kind, also known as the Neumann function.

## x

The input argument.

Default: 0

## v

Order of the Bessel function.

## error in

Error conditions that occur before this node runs. The node responds to this input according to standard error behavior.

Default: No error

## Yv(x)

Value of the Bessel function of the second kind.

## error out

Error information. The node produces this output according to standard error behavior.

## Algorithm for Computing the Bessel Function of the Second Kind

For the Bessel function of the second kind of order v, Yv(x) is a solution of the following differential equation.

${x}^{2}\frac{{d}^{2}w}{d{x}^{2}}+x\frac{dw}{dx}+\left({x}^{2}-{v}^{2}\right)w=0$

The function is defined according to the following intervals for the input values.

$v\in \Re ,x\in \left(0,\infty \right)$

This node supports the entire domain of this function that produces real-valued results. For any real value of order v, the function is defined for positive real values of x.

Where This Node Can Run:

Desktop OS: Windows

FPGA: Not supported